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  • Question 1
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    What is the formula for the Poisson distribution probability?

  • Question 2
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    If A and B are two matrices such that AB = A and BA = B, then which one of the following is correct?

  • Question 3
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    If A is any square matrix, then

  • Question 4
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    Maximize Z = 5x + 6y subject to x + y ≤ 6, 2x + y ≤ 10, x + 2y ≤ 10, x ≥ 0, y ≥ 0. What is the optimal value of Z?

  • Question 5
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    Minimize Z = 4x + 3y subject to x + 2y ≥ 4, 3x + y ≥ 6, x + y ≤ 8, x ≥ 0, y ≥ 0. What is the minimum value of Z?

  • Question 6
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    The number of arbitrary constants in a particular solution of a fourth order differential equation is ______

  • Question 7
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    How many arbitrary constants will be there in the general solution of a second order differential equation?

  • Question 8
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    Let f(x) = x – [x], then f ‘ (x) = 1 for

  • Question 9
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    What will be the co-ordinates of the foot of the normal to the parabola y2 = 3x which is perpendicular to the line y = 2x + 4?

  • Question 10
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    If the normal to the ellipse x2 + 3y2 = 12 at the point be inclined at 60° to the major axis, then at what angle does the line joining the curve to the point is inclined to the same axis?

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